20 citations · 39 across the 4 of their papers we have counts for
6 papers · 1 filter
Realization of coherent state Lie algebras by differential operators
Stefan Berceanu
A realization of coherent state Lie algebras by first-order differential operators with holomorphic polynomial coefficients on Kähler coherent state orbits is presented. Explicit f…
Linear Hamiltonians on homogeneous Kähler manifolds of coherent states
S. Berceanu, A. Gheorghe
Representations of coherent state Lie algebras on coherent state manifolds as first order differential operators are presented. The explicit expressions of the differential action…
Geometrical phases on hermitian symmetric spaces
Stefan Berceanu
For simple Lie groups, the only homogeneous manifolds , where is maximal compact subgroup,for which the phase of the scalar product of two coherent state vectors is twice…
Differential operators on orbits of coherent states
S. Berceanu, A. Gheorghe
We emphasize some properties of coherent state groups, i.e. groups whose quotient with the stationary groups, are manifolds which admit a holomorphic embedding in a projective Hilb…
Coherent states, phases and symplectic areas of geodesic triangles
S. Berceanu
On certain manifolds, the phase which appears in the scalar product of two coherent state vectors is twice the symplectic area of the geodesic triangle determined by the correspond…
Coherent states and geometry
Stefan Berceanu
The coherent states are viewed as a powerful tool in differential geometry. It is shown that some objects in differential geometry can be expressed using quantities which appear in…